Question

4. A copper wire of cross sectional area 0.5 m² carries a current of 0.2A. If the free electron
density of copper is 8.4*10m, then the drift velocity of free electrons
a) 0.01x10ms b) 0.02x10ms c) 0,03x10 ms d) 0.04x10 ms​

Answer 1

Answer:

0.02×10ms is the right answer

Answer 2

Given info : A copper wire of cross sectional area 0.5 m² carries a current of 0.2A. If the free electron density of copper is 8.4 × 10^28 /m³,

To find : the drift velocity of free electrons is ..

solution : drift velocity of free electron is given by, v = i/neA

where n is electron density, e is charge on electron , A is cross sectional area and I is current through wire.

here n = 8.4 × 10^28/m³, e = 1.6 × 10^-19 C , A = 0.5 m² and I = 0.2 A

so, v = 0.2/(8.4 × 10^28 × 1.6 × 10^-19 × 0.5)

= 0.03 × 10^-9 m/s

Therefore drift velocity of free electron is 0.03 × 10^-9 m/s.

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